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Finding the Fourth Proportional to 13,796.33, 20,688.82 and 5,475.20

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Solution

The fourth proportional to 13,796.33, 20,688.82 and 5,475.20 is: 8,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.33 : 20,688.82 = 5,475.20 : x
  2. Step 2: Convert to fraction form
    13,796.33/20,688.82 = 5,475.20/x
  3. Step 3: Cross multiply
    13,796.33x = 20,688.82 × 5,475.20
  4. Step 4: Simplify right side
    13,796.33x = 113,275,310.13
  5. Step 5: Solve for x
    x = 113,275,310.13/13,796.33
  6. Step 6: Final answer
    x = 8,210.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.